A051548 a(n) = LCM { tau(1), ..., tau(n) }, a(0) = 1.

1, 1, 2, 2, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 60, 60, 60, 60, 60, 60, 60, 60, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 120, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360, 360

Offset

0,3

Comments

From Antti Karttunen, Aug 23 2017: (Start)

a(0) = 1 as an empty product.

Records (new values) occur at positions: 0, 2, 4, 6, 24, 36, 64, 120, 840, 900, 1024, 1296, 4096, 7560, ...

(End)

Links

Antti Karttunen, Table of n, a(n) for n = 0..4096

Index entries for sequences related to lcm's

Mathematica

Block[{nn = 60, s}, s = DivisorSigma[0, Range@ nn]; {1}~Join~Table[LCM @@ s[[1 ;; n]], {n, nn}]] (* Michael De Vlieger, Aug 23 2017 *)

Prog

(Scheme, with memoization-macro definec) (definec (A051548 n) (if (<= n 1) 1 (lcm (A000005 n) (A051548 (- n 1))))) ;; Antti Karttunen, Aug 23 2017

Crossrefs

Cf. A000005.

Sequence in context: A241380 A028476 A179478 * A110660 A332759 A139550

Adjacent sequences: A051545 A051546 A051547 * A051549 A051550 A051551

Keyword

nonn

Author

N. J. A. Sloane

Extensions

a(0) = 1 prepended and the offset of the rest of terms corrected by Antti Karttunen, Aug 23 2017

Status

approved